gini.den: Gini Coefficient for an Income Distribution
In acid: Analysing Conditional Income Distributions

Description Usage Arguments Value Author(s) References See Also Examples

This function approximates the Gini coefficient for a distribution specified by a vector of densities and a corresponding income vector. A point mass at zero is allowed.

1 2	gini.den(incs, dens, pm0 = NA, lower = NULL, upper = NULL)

`incs`	a vector with sorted income values.
`dens`	a vector with the corresponding densities.
`pm0`	the point mass for zero incomes. If not specified no point mass is assumed.
`lower`	the lower bound of the income range considered.
`upper`	the upper bound of the income range considered.

`Gini`	the approximation of the Gini coefficient.
`pm0`	the point mass for zero incomes used.
`lower`	the lower bound of the income range considered used.
`upper`	the upper bound of the income range considered used.

Alexander Sohn

Cowell, F.A. (2000): Measurement of Inequality, in: Atkinson and Bourguignon (eds.), Handbook of Income Distribution, pp. 1-86, Elsevier, Amsterdam.

weighted.gini

mu<-2
sigma<-1
incs<-c(seq(0,500,by=0.01),seq(501,50000,by=1))
dens<-dLOGNO(incs,mu,sigma)
plot(incs,dens,type="l",xlim=c(0,100))
gini.den(incs=incs,dens=dens)$Gini
gini(rLOGNO(5000000,mu,sigma))$Gini
2*pnorm(sigma/sqrt(2))-1 #theoretical Gini